arbitrary

[ahr-bi-trer-ee] Origin

ar·bi·trar·y

[ahr-bi-trer-ee] adjective, noun, plural ar·bi·trar·ies.
adjective
1.
subject to individual will or judgment without restriction; contingent solely upon one's discretion: an arbitrary decision.
2.
decided by a judge or arbiter rather than by a law or statute.
3.
having unlimited power; uncontrolled or unrestricted by law; despotic; tyrannical: an arbitrary government.
4.
capricious; unreasonable; unsupported: an arbitrary demand for payment.
5.
Mathematics. undetermined; not assigned a specific value: an arbitrary constant.
noun
6.
arbitraries, Printing. (in Britain) peculiar (def. 9).

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Arbitrary is always a great word to know.
So is common divisor. Does it mean:
a number that is a submultiple of all the numbers of a given set
to separate into equal parts by the process of mathematical division

Origin:
1400–50; late Middle English < Latin arbitrārius uncertain (i.e., depending on an arbiter's decision). See arbiter, -ary

ar·bi·trar·i·ly [ahr-bi-trer-uh-lee, ahr-bi-trair-] , adverb
ar·bi·trar·i·ness, noun
non·ar·bi·trar·i·ly, adverb
non·ar·bi·trar·i·ness, noun
non·ar·bi·trar·y, adjective
EXPAND
un·ar·bi·trar·i·ly, adverb
un·ar·bi·trar·y, adjective
COLLAPSE
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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World English Dictionary
arbitrary (ˈɑːbɪtrərɪ)
 
adj
1.  founded on or subject to personal whims, prejudices, etc; capricious
2.  having only relative application or relevance; not absolute
3.  (of a government, ruler, etc) despotic or dictatorial
4.  maths not representing any specific value: an arbitrary constant
5.  law (esp of a penalty or punishment) not laid down by statute; within the court's discretion
 
[C15: from Latin arbitrārius arranged through arbitration, uncertain]
 
'arbitrarily
 
adv
 
'arbitrariness
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Etymonline
Word Origin & History

arbitrary
early 15c., "deciding by one's own discretion," from L. arbitrarius "depending on the will, uncertain," from arbiter (see arbiter). The original meaning gradually descended to "capricious" and "despotic" (1640s).
Online Etymology Dictionary, © 2010 Douglas Harper
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